Solving for Speed, Height of Boy on Water Slide

In summary: I can't figure out the velocity of the boy as he leaves the slide without it, how would I go about figuring it outHave you given all the information ?In summary, a water slide is frictionless and begins at rest at the top of the slide. A 50 kg boy is observed to hit the water 7 meters from the end of the slide, as shown.
  • #36
would it make sense to solve for vi using the conservation of energy equation?
 
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  • #37
Sorry, I've missed out a step.

I thought you had already worked out another velocity.

Ok, forget my earlier post about vi being a vertical velocity - that's wrong.

the 10 m/s, that is the horizontal velocity that the boy has when he leaves the slide. I think you called that Vb.

Ok, now we have to find the vertical velocity that the boy hits the water with.

He falls from a height h = 2.4 m ( the height of the slide above the water). He falls with a acceleration of g = 9.8 m/s². So,

v² - u² = 2as (with u,v,a,s as defined before)

v² - 0 = 2g*2.4
v = 6.858 m/s
===========

Then,
v² + Vb² = speed²
 
  • #38
wow! thanks fermat for all your patience with me I greatly appreciate it! I only discovered this website two days ago and I thank God I did you've been a tremendous help. thanks again
 
  • #39
Ciao :smile:
 

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